Question

I. 4x² - 21x + 20 = 0

II. 8y² - 22y + 15 = 0

A if x > y Correct Answer Incorrect Answer
B if x ≥ y Correct Answer Incorrect Answer
C if x < y Correct Answer Incorrect Answer
D if x ≤ y Correct Answer Incorrect Answer
E if x = y or the relationship cannot be established Correct Answer Incorrect Answer

Solution

I. 4x² - 21x + 20 = 0 4x² - 16x - 5x + 20 = 0 4x (x – 4) – 5(x – 4) = 0 (4x – 5) (x – 4) = 0 ∴ x = 4, 5/4 II. 8y² - 22y + 15 = 0 8y² - 12y - 10y + 15 = 0 4y (2y – 3) – 5 (2y – 3) = 0 (4y – 5) (2y – 3) = 0 ∴ y = 5/4, 3/2 Hence, relationship cannot be established between x and y.

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